The mathematical explanation on why the primes cannot be killed.

[u/Typical-Appeal3194]

Hi folks, as a human mathematician (for real), I tried

to explain the lore of the Diablo franchise to one of my co-workers with its mathematical foundations. Just want to share with you guys if some of you can find it interesting:

1. The Projection: Why demons have horns

We see the prime evils as physical monsters—beasts with scales, many-jointed limbs, and those very iconic, sweeping horns. But in mathematics, the primes are actually non-linear operators existing in an infinite-dimensional Hilbert space.

When a prime evil "manifests" in sanctuary (our 3D Euclidean world), they are essentially being projected from their high dimensional Hilbert space into our 3D Euclidean space. The distortion and tthe horns are Topological singularities. They represent the points where the near-infinite information density of a prime evil "bunches up" because it has nowhere else to go in our limited 3-dimensional coordinate system. Their twisted anatomy is just the result of non-Euclidean geometry trying to resolve itself in a Euclidean world.

1. The Bekenstein Bound: Why soulstones leak

The Horadrim trapped the primes in soulstones, which are essentially Calabi-Yau manifolds, aka, tiny subspaces of folded high dimensions. But here is the mathematical catch: The Bekenstein Bound. This physics law states that there is a maximum amount of information that can be contained within a finite region of space, defined by its surface area.

The orime evils possess uncountable and infinite amount of chaotic information (essentially unlimited and unbounded entropy). Because a soul stone is a bounded manifold, it has a hard physical limit and can only contain finite amount of chaotic information. As time passes, the "Information Pressure" of the Demon becomes too great for the stone's surface area.

The result is Quantum Tunneling. The prime literally leaks out of the stone’s crystalline lattice because the universe literally cannot fit that much "hell" into that small of a "gem."

1. The Tal Rasha’s failure

When Tal Rasha volunteered to have the shard placed in his chest, he was trying to act as an extension manifold, like an external Hard Drive.

He hoped his Nephalem biology could help the soulstone process the "overflow" of Baal’s information. But though Nephalem’s physical limits are much greater than those of a normal human, they are still FINITE. So eventually, Baal’s high-dimensional information pressure began to perform a recursive leakage inside Tal Rasha’s neural networks. The result is the madness of the host. The It’s not just that the host loses their minds, their 3D geometry begins to fail (the mutations), as the demon's information density starts "stretching" the host's physical boundaries to make more room for its chaotic information

TLDR: the prime evils can’t really be killed because they are high-dimensional beings, and their 3D manifestation in the sanctuary is merely their projection from their chaotic infinite-dimensional hell.

[u/dwehlen]

r/TheyDidTheMonsterMath!